Learn Class 9 Math - Triangles

The figure that is enclosed from three sides is known as a triangle. Many properties are present that help show the congruence of triangles, like SAS, SSS, ASA, AAS, and many other terms.

A different set of criteria for the Congruence of the triangle

1. SAS:

  • The SAS property makes the triangle congruent by its two sides and one angle.
  • It means when in a given triangle, the two sides are equal, and one angle is equal, the triangle becomes congruent by the property of the SAS rule.

2. AAS:

  • The AAS property makes the triangle congruent by its two angles and one side.
  • It means when in a given triangle, the two angles are equal and one side is equal, the triangle becomes congruent by the property of the AAS rule.

3. SSS:

  • The SSS property makes the triangle congruent by its three sides.
  • When in a given triangle, all the three sides are equal. The triangle becomes congruent by the property of the SSS rule.

4. ASA:

  • The ASA property makes the triangle congruent by its two angles and one side.
  • It means when in a given triangle, the two angles are equal and one side is equal, the triangle becomes congruent by the property of the ASA rule.

Learning Videos for 9th Grade Math - Triangles

Triangles Sample Questions for Class 9

Question 1

Which choice shows three lengths that cannot be the lengths of the three sides of a triangle?
A. 2, 3, 4
B. 5, 6, 12
C. 7, 2, 5
D. 7, 6, 12

Question 2

The measure of an exterior angle of a triangle is greater than either of the measures of its
A. alternate interior angles.
B. same side interior angles.
C. remote interior angles.
D. complementary angles.

Question 3

The two congruent sides of an isosceles triangle are called
A. the vertex angle.
B. the base angles.
C. the legs.
D. the hypotenuse.

Question 4

Which choice shows three lengths that can be the lengths of the three sides of a triangle?
A. 2, 6, 3
B. 5, 6, 11
C. 7, 2, 8
D. 7, 6, 14

Question 5

Which point is always equidistant from the three sides of a triangle?
A. Incenter
B. Orthocenter
C. Centroid
D. Circumcenter